77 is what percent of 15225 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 15225 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 15225, so we can write it down as 100%=15225.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=15225
2) x%=77
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=15225/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 15225

100%/x%=15225/77
(100/x)*x=(15225/77)*x       - we multiply both sides of the equation by x
100=197.72727272727*x       - we divide both sides of the equation by (197.72727272727) to get x
100/197.72727272727=x
0.50574712643678=x
x=0.50574712643678

now we have:
77 is 0.50574712643678% of 15225